About Our Name:
"Boost"--We give our clients a "boost", nothing tricky about that part of the name.
"Alpha"--The first letter in the greek alphabet, plus the term "alpha" is used in business to describe a company's expected growth in a flat market.

Taken together, our name simply means will boost our client's online
growth relative to their competition.

Tell us a bit about who you are and the people you reach

Our logo needs to impress business owners. The logo needs to give them confidence that we are professional, knowledgeable, and dynamic.

Requirements

We feel that, since we sell somewhat abstract services, that a strong
logo will really help potential clients have confidence in our
company. So, we want to encourage you to create a logo that you think
is very expressive. We created a list of things we would like a logo
to project: energy, action, growth, force, vitality, expertise,
potency, intelligence, skill, strength and the logo should be sleek,
elegant, and striking.

Some random ideas, please feel free to use or ignore these:
--Combination of a "b" for boost, and the Greek "alpha" symbol.
--Combination of the "infinity" symbol and the Greek "alpha" symbol.
--Incorporate a Mobius strip with "b" and "a" of our name.